Question

X^2+12x=-35 Solve the quadratic by factoring

Answer 1

Answer:

The values of x are -5 and - 7

Step-by-step explanation:

x^2 + 12x = -35

Equate to zero

x^2 + 12x + 35 = 0

Finding the factors that will be multiplied to give +35x^2 and added to give +12x

Use + 7 and + 5

Substitute 7x + 5x for 12x in the equation

x^2 + 7x + 5x + 35 = 0

Separate using brackets

( x^2 + 7x) + ( 5x + 35) = 0

x( x + 7) + 5(x + 7) = 0

( x + 5)(x + 7) = 0

Equating each bracket to zero

( x + 5) = 0

x + 5 = 0

x = -5

( x + 7) = 0

x + 7 = 0

x = -7

The values of x are -5 and - 7

Answer 2

Step-by-step explanation:

x² + 12x = -35

x² + 12x + 35 = 0

(x + 5) (x + 7) = 0

x = -5 or -7